The topography around an internal crack: Differences between exact and two-term solutions

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:07:42Z
dc.date.available	2014-03-01T01:07:42Z
dc.date.issued	1989	en
dc.identifier.issn	0013-7944	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10128
dc.subject.classification	Mechanics	en
dc.subject.other	Fracture Mechanics	en
dc.subject.other	Materials--Elasticity	en
dc.subject.other	Metals and Alloys--Crack Propagation	en
dc.subject.other	Deformed Lateral Faces	en
dc.subject.other	Internal Crack	en
dc.subject.other	Overall Tensile Loading	en
dc.subject.other	Stress Intensity Factor	en
dc.subject.other	Plates	en
dc.title	The topography around an internal crack: Differences between exact and two-term solutions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0013-7944(89)90069-6	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0013-7944(89)90069-6	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	The deformed lateral faces of an internally cracked thin plate under conditions of plane stress, taking the forms of infinitesimal dimples for an overall tensile loading of the plate, constitute a dependable source for evaluating the mode of loading of the plate by defining its respective stress intensity factor (SIF) and the order of singularity (SO) at the tip of the crack. Although very close to the tip the so-called singular one-term approximation of the complex potential, defining the stress field in the plate, is rather satisfactory, two-term approximations, and especially exact solutions, are needed when measurements are forced to be done at some distance from the tip. Then, it becomes obvious that of great importance is the definition of the particular shapes derived from these solutions, in order to establish the limits of validity of each solution. In this paper the topography of the deformed lateral faces in the vicinity of the crack tip is evaluated by using, either the Liebowitz two-term approximation, or the existing exact solution. The differences between the shapes of the dimples were established and their influence on the overall shape of the deformed faces of the cracked plate. It was established that, while close to the crack tip both solutions give reliable and satisfactory results, they deviate progressively, when one recedes from the tip of the crack. © 1989.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Engineering Fracture Mechanics	en
dc.identifier.doi	10.1016/0013-7944(89)90069-6	en
dc.identifier.isi	ISI:A1989AH21000005	en
dc.identifier.volume	33	en
dc.identifier.issue	5	en
dc.identifier.spage	707	en
dc.identifier.epage	717	en